2+a=a+b+c+d

Solution for 2+a=a+b+c+d equation:

Simplifying
2 + a = a + b + c + d

Add '-1a' to each side of the equation.
2 + a + -1a = a + b + c + -1a + d

Combine like terms: a + -1a = 0
2 + 0 = a + b + c + -1a + d
2 = a + b + c + -1a + d

Reorder the terms:
2 = a + -1a + b + c + d

Combine like terms: a + -1a = 0
2 = 0 + b + c + d
2 = b + c + d

Solving
2 = b + c + d

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '-1b' to each side of the equation.
2 + -1b = b + c + -1b + d

Reorder the terms:
2 + -1b = b + -1b + c + d

Combine like terms: b + -1b = 0
2 + -1b = 0 + c + d
2 + -1b = c + d

Add '-2' to each side of the equation.
2 + -2 + -1b = c + -2 + d

Combine like terms: 2 + -2 = 0
0 + -1b = c + -2 + d
-1b = c + -2 + d

Reorder the terms:
-1b = -2 + c + d

Divide each side by '-1'.
b = 2 + -1c + -1d

Simplifying
b = 2 + -1c + -1d